Question

Hours. 2 5 7 18. The table shows the amount of time a delivery touchas been oring and the distance teled. The total distance traveled is a direct vacation of the number of hours. Use the model below to find the side Distance (mi) - 110 205 slope

Answer 1

The slope is given by the formula:

`m=(y_2-y_1)/(x_2-x_1)`

where (x1,y1) and (x2,y2) are two points on the line. Looking at the table we can choose the first two points, that is, (2,110) and (5,275), then the slope is:

`m=(275-110)/(5-2)=(165)/(3)`

This can be simplified, since 165 is a multiple of 3, then m=55.

Now that we have the slope, we can express the distance traveled y in terms of the hours x. Using the formula

`y=mx`

we have that:

`y=3x`